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{'class_group': [58695], 'class_number': 58695, 'cm': False, 'coeffs': [-2406104, 0, 0, -67416, 0, 0, -402, 0, 0, 1], 'conductor': 0, 'degree': 9, 'dirichlet_group': [], 'disc_abs': 204660873277907187604195008, 'disc_rad': 6738, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [0]], [5, [[6, 1], [3, 1]]], [7, [[3, 3]]], [11, [[6, 1], [3, 1]]], [13, [[3, 3]]], [17, [[2, 3], [1, 3]]], [19, [[3, 3]]], [23, [[6, 1], [3, 1]]], [29, [[2, 3], [1, 3]]], [31, [[3, 3]]], [37, [[3, 3]]], [41, [[2, 3], [1, 3]]], [43, [[3, 3]]], [47, [[6, 1], [3, 1]]], [53, [[6, 1], [3, 1]]], [59, [[6, 1], [3, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12, 27, 12], 'galois_label': '9T4', 'galt': 4, 'grd': 891.1586974269279, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 2, 'label': '9.3.204660873277907187604195008.2', 'local_algs': ['2.9.6.1', '3.3.4.3', '3.6.9.11', 'm1123.3.3.6'], 'minimal_sibling': [4492, 0, 0, -134, 0, 0, 1], 'monogenic': 0, 'num_ram': 3, 'r2': 3, 'ramps': [2, 3, 1123], 'rd': 838.3942935313088, 'regulator': {'__RealLiteral__': 0, 'data': '130304.28205208834', 'prec': 60}, 'subfield_mults': [1, 1], 'subfields': ['-75241.-3369.0.1', '-4492.0.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( -\\frac{1}{36} a^{6} + \\frac{118}{9} a^{3} + \\frac{8594}{9} \\)', '\\( \\frac{1}{1809} a^{8} - \\frac{4}{1809} a^{7} + \\frac{1}{108} a^{6} - \\frac{7}{27} a^{5} + \\frac{28}{27} a^{4} - \\frac{115}{27} a^{3} - \\frac{37802}{1809} a^{2} + \\frac{151208}{1809} a - \\frac{9266}{27} \\)', '\\( \\frac{58}{121203} a^{8} + \\frac{8}{1809} a^{7} - \\frac{1}{54} a^{6} - \\frac{415}{1809} a^{5} - \\frac{56}{27} a^{4} + \\frac{469}{54} a^{3} - \\frac{1764386}{121203} a^{2} - \\frac{287944}{1809} a + \\frac{17983}{27} \\)', '\\( -\\frac{259}{242406} a^{8} - \\frac{4}{1809} a^{7} + \\frac{1}{108} a^{6} + \\frac{911}{1809} a^{5} + \\frac{28}{27} a^{4} - \\frac{239}{54} a^{3} + \\frac{4438888}{121203} a^{2} + \\frac{136736}{1809} a - \\frac{8663}{27} \\)', '\\( \\frac{1}{26934} a^{8} - \\frac{1}{67} a^{5} - \\frac{42686}{13467} a^{2} + 33 \\)'], 'used_grh': True, 'zk': ['1', 'a', 'a^2', '1/6*a^3 - 1/3', '1/6*a^4 - 1/3*a', '1/18*a^5 - 1/18*a^4 + 1/18*a^3 + 2/9*a^2 - 2/9*a + 2/9', '1/108*a^6 - 1/18*a^4 + 1/54*a^3 + 1/3*a^2 + 4/9*a + 7/27', '1/7236*a^7 + 2/27*a^4 + 1/18*a^3 - 1/3*a^2 + 298/1809*a - 1/9', '1/484812*a^8 + 32/1809*a^5 - 1/18*a^4 - 1/18*a^3 + 1102/121203*a^2 + 4/9*a + 1/9']}